Blue Dog Manufacturing Corp. just reported a net income of $7,000,000, and its current stock price is $23.00 per share. Blue Dog is forecasting an increase of 25% for its net income next year, but it also expects it will have to issue 1,900,000 new shares of stock (raising its shares outstanding from 5,500,000 shares to 7,400,000 shares). Required:
If Blue Dog’s forecast turns out to be correct and its price-to-earnings (P/E) ratio does not change, what does management expect its stock price to be one year from now?

$21.41

Explanation:

The computation of the stock price one year from now is as follows:

As we know that

Earnings per share = Earnings after tax ÷  Number of shares

= $7,000,000 ÷  5,500,000 shares

= $1.27 per share  

And,

P/E ratio = Current price per share ÷ Earnings per share

= $23 ÷ $1.27

= 18.11

Next Year:

Earnings after tax is

= $7,000,000 ×  1.25

= $8,750,000

Now  

Earnings per share = Earnings after tax ÷  Number of shares

= $8,750,000 ÷  7,400,000 shares

= $1.18 per share  

And,

P/E ratio = Current price per share ÷ Earnings per share

18.11 = Current price per share ÷ $1.18

So, the current price per share is

= $1.18 × 18.11

= $21.41

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